12002030600 has 288 divisors, whose sum is σ = 34963063560. Its totient is φ = 3806208000.

The previous prime is 12002030563. The next prime is 12002030603. The reversal of 12002030600 is 603020021.

It can be written as a sum of positive squares in 12 ways, for example, as 1358807044 + 10643223556 = 36862^2 + 103166^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (12002030603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10162010 + ... + 10163190.

Almost surely, 2^12002030600 is an apocalyptic number.

12002030600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002030600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17481531780).

12002030600 is an abundant number, since it is smaller than the sum of its proper divisors (22961032960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12002030600 is a wasteful number, since it uses less digits than its factorization.

12002030600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12002030600 its reverse (603020021), we get a palindrome (12605050621).

The spelling of 12002030600 in words is "twelve billion, two million, thirty thousand, six hundred".